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Finding the Fourth Proportional to 298,002.80, 411,243.76 and 163,866.80

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Solution

The fourth proportional to 298,002.80, 411,243.76 and 163,866.80 is: 226,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,002.80 : 411,243.76 = 163,866.80 : x
  2. Step 2: Convert to fraction form
    298,002.80/411,243.76 = 163,866.80/x
  3. Step 3: Cross multiply
    298,002.80x = 411,243.76 × 163,866.80
  4. Step 4: Simplify right side
    298,002.80x = 67,389,198,971.17
  5. Step 5: Solve for x
    x = 67,389,198,971.17/298,002.80
  6. Step 6: Final answer
    x = 226,136.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.